H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 74 Citations 18,624 303 World Ranking 88 National Ranking 2

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

Fawang Liu mainly investigates Mathematical analysis, Fractional calculus, Numerical analysis, Diffusion equation and Numerical stability. He performs multidisciplinary study in Mathematical analysis and Stability in his work. Fawang Liu has included themes like Time derivative, Dirichlet boundary condition, Finite element method, Space and Convection–diffusion equation in his Fractional calculus study.

His work in Space covers topics such as Domain which are related to areas like Representation. His Diffusion equation research integrates issues from Discretization and Matrix. Fawang Liu has researched Finite difference method in several fields, including Rate of convergence, Fractional Laplacian, Finite difference and Fokker–Planck equation.

His most cited work include:

  • Numerical solution of the space fractional Fokker-Planck equation (568 citations)
  • Numerical methods for fractional partial differential equations with Riesz space fractional derivatives (414 citations)
  • Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation (406 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Mathematical analysis, Fractional calculus, Numerical analysis, Applied mathematics and Stability. In most of his Mathematical analysis studies, his work intersects topics such as Diffusion equation. The concepts of his Fractional calculus study are interwoven with issues in Anomalous diffusion, Time derivative, Finite element method, Discretization and Domain.

Fawang Liu usually deals with Numerical analysis and limits it to topics linked to Nonlinear system and Ordinary differential equation. His work in Applied mathematics addresses issues such as Finite volume method, which are connected to fields such as Control volume and Finite volume method for one-dimensional steady state diffusion. He focuses mostly in the field of Finite difference method, narrowing it down to matters related to Mechanics and, in some cases, Porous medium.

He most often published in these fields:

  • Mathematical analysis (73.28%)
  • Fractional calculus (56.86%)
  • Numerical analysis (38.73%)

What were the highlights of his more recent work (between 2018-2021)?

  • Applied mathematics (34.07%)
  • Stability (30.64%)
  • Fractional calculus (56.86%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Applied mathematics, Stability, Fractional calculus, Space and Numerical analysis. His research integrates issues of Spectral method, Diffusion equation, Nonlinear system, Discretization and Finite difference method in his study of Applied mathematics. His Fractional calculus research is within the category of Mathematical analysis.

His research on Mathematical analysis frequently connects to adjacent areas such as Unstructured mesh. His Space research incorporates themes from Scheme, Partial differential equation, Alternating direction implicit method, Spacetime and Variable. The Numerical analysis study combines topics in areas such as Time derivative and Riesz space.

Between 2018 and 2021, his most popular works were:

  • Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains (49 citations)
  • Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains (49 citations)
  • Some second-order schemes combined with finite element method for nonlinear fractional cable equation (36 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

Fawang Liu mostly deals with Stability, Applied mathematics, Fractional calculus, Space and Numerical analysis. His Fractional calculus study deals with Discretization intersecting with Anomalous diffusion, Alternating direction implicit method, Galerkin method, Nonlinear system and Rate of convergence. His research in Space intersects with topics in Strongly connected component, Partial differential equation and Transport phenomena.

His work carried out in the field of Numerical analysis brings together such families of science as Field, Finite difference method and Wave equation. Scheme is a subfield of Mathematical analysis that he investigates. Fawang Liu is interested in Exact solutions in general relativity, which is a field of Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Numerical solution of the space fractional Fokker-Planck equation

F. Liu;V. Anh;I. Turner.
Journal of Computational and Applied Mathematics (2004)

763 Citations

Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation

Fawang Liu;Fawang Liu;Pinghui Zhuang;Vo Anh;Ian Turner.
Applied Mathematics and Computation (2007)

536 Citations

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

Qianqian Yang;Fawang Liu;Ian Turner.
Applied Mathematical Modelling (2010)

530 Citations

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

P. Zhuang;F. Liu;V. Anh;I. Turner.
SIAM Journal on Numerical Analysis (2009)

449 Citations

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

P. Zhuang;F. Liu;V. Anh;I. Turner.
SIAM Journal on Numerical Analysis (2008)

387 Citations

A Fourier method for the fractional diffusion equation describing sub-diffusion

Chang-Ming Chen;F. Liu;I. Turner;V. Anh.
Journal of Computational Physics (2007)

383 Citations

Time fractional advection-dispersion equation

Fawang Liu;Vo Anh;Ian Turner;Pinghui Zhuang.
Journal of Applied Mathematics and Computing (2003)

274 Citations

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

R. Lin;F. Liu;V. Anh;I. Turner.
Applied Mathematics and Computation (2009)

268 Citations

Numerical methods for solving the multi-term time-fractional wave-diffusion equation

Fawang Liu;Mark M. Meerschaert;Robert J. McGough;Pinghui Zhuang.
Fractional Calculus and Applied Analysis (2013)

258 Citations

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

Fanhai Zeng;Changpin Li;Fawang Liu;Ian W. Turner.
SIAM Journal on Scientific Computing (2013)

257 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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